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Finding the Third Proportional to 305,684 and 719,261

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Solution

The third proportional to 305,684 and 719,261 is: 1,692,389.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,684 : 719,261 = 719,261 : x
  2. Step 2: Convert to fraction form
    305,684/719,261 = 719,261/x
  3. Step 3: Cross multiply
    305,684x = 719,261 × 719,261
  4. Step 4: Simplify right side
    305,684x = 517,336,386,121
  5. Step 5: Solve for x
    x = 517,336,386,121/305,684
  6. Step 6: Final answer
    x = 1,692,389.48

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.